Question

Multiply or divide the following functions.
Given:
f(x)=x+5
g(x)=4x+3
h(x)=x²+7x+10
m(x)=x+2|x+5

1. (f•g)(x)
2. (f•m)(10)
3. (h•f)(3)
4. (h|m)(-4)
5. (f|g)(3)​

Answer 1

Answer:

1. (f.g)(x)=4x²+23x+15

2. (f.m)(10)=228

3.(h.f)(3)=320

4.(h|m)(-4)=-4/3

5.(f|g)(3)=8/15

Explanation:

1. (f.g)(x)=f(x).g(x)

=(x+5)(4x+3)=4x²+23x+15.

2. (f.m)(10)=f(10).m(10)

=(10+5)(10+2/10+5)

=15x(15+1/5)=225+3=228.

3. (h.f)(3)=h(3).f(3)

=(3²+7x3+10)(3+5)

=(9+21+10)(15)=40x8=320.

to do likewise,

4. (h|m)(-4)=h(-4)/m(-4)=-4/3.

5. (f|g)(3)=f(3)/g(3)=8/15.